### Home > AC > Chapter 8 > Lesson 8.3.3 > Problem 8-117

Solve the following quadratic equations using any method.

**Example 1:** Solve using the Zero Product Property.

**Solution**: First, factor the quadratic so it is written as a product: . Solving these equations for

*reveals that*

**Example 2:** Solve using the Quadratic Formula.

**Solution: **This method works for *any* quadratic. First, identify , and

*.*

*equals the number of*

*-terms,*

*equals the number of*

*terms, and* -

*equals the constant. For*

*. Substitute the values of*

*, and*

*into the Quadratic Formula and evaluate the expression twice: once with addition and once with subtraction. Examine this method below:*

| ||

| or | |

| |

**Example 3: **Solve by completing the square.

**Solution: **This method works most efficiently when the coefficient of is

*. Rewrite the left side as an incomplete square:*

Generic rectangle left edge + | interior top left | blank | ||

interior bottom left | interior bottom right | right edge | ||

bottom edge |

Complete the square and rewrite as

Take the square root of both sides, . Solving for

*reveals that*

*or*

*.*